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Finding the Fourth Proportional to 253,015.75, 348,935.74 and 209,927.02

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Solution

The fourth proportional to 253,015.75, 348,935.74 and 209,927.02 is: 289,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,015.75 : 348,935.74 = 209,927.02 : x
  2. Step 2: Convert to fraction form
    253,015.75/348,935.74 = 209,927.02/x
  3. Step 3: Cross multiply
    253,015.75x = 348,935.74 × 209,927.02
  4. Step 4: Simplify right side
    253,015.75x = 73,251,040,069.69
  5. Step 5: Solve for x
    x = 73,251,040,069.69/253,015.75
  6. Step 6: Final answer
    x = 289,511.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.